Lecture Notes / Syllabus

• Recorded lectures (You-Tube) and notes are linked on this page.

• Note that the lecture order will change slightly in 2023 - See Class Schedule in Google Drive.

• See Prior Year links at the bottom if interested.

Basic MRI Review / Background

Background I - Bloch Equations and Contrast (Lecture 1)

• The Main (B0) Field and the Equation of Motion (1A): Notes | Lecture

• Radiofrequency (B1) Pulses and the Rotating Frame (1B): Notes | Lecture

• Hard RF (B1) Pulses and Forced Precession (1C): Notes | Lecture

• Bloch Equations, Relaxation, and Image Contrast (1D): Notes | Lecture

Background II - k-space and imaging (Lecture 2)

• Magnetic Field Gradients (2A): Notes | Lecture

• Slice Selection (2B): Notes | Lecture

• The MRI Signal Equation and k-space (2C): Notes | Lecture

• Phase and Frequency Encoding (2D): Notes | Lecture

Simulation Tools

Bloch Equation Matrix Simulations (Lecture 3)

• Matrix Operations for Nutation, Relaxation and Precession (3A): Notes | Lecture

• Sequence Simulation Examples using Matrix Operations (3B): Notes | Lecture

Extended-Phase-Graphs (Lecture 4)

• Definition of the Extended Phase Graph Basis (4A): Notes | Lecture

• Sequence Operations in the Extended Phase Graph Domain (4B): Notes | Lecture

• Extended Phase Graph Sequence Examples (4C): Notes | Lecture

Imperfections

Imperfections I - Eddy currents, Maxwell Terms, Gradient Non-linearity

• Gradient Non-Linearity (5A): Notes | Lecture

• Eddy Currents (5B): Notes | Lecture

• Maxwell Fields (5C) Notes | Lecture

Imperfections II - Motion and Motion Compensation

• Motion Artifacts (6A): Notes | Lecture

• Motion Compensation (6B): Notes | Lecture

• Motion Encoding (6C): Notes | Lecture

Imperfections III - Signal to Noise Ratio

• Single-Channel Noise and SNR Measurement (7A): Notes | Lecture

• SNR Factors and Relationships (7B): Notes | Lecture

• Multi-Channel Noise and SNR (7C): Notes | Lecture

Pulse Sequences

Pulse Seq I - Spin Echoes

• Basic Spin-Echo Signals (8A): Notes | Lecture

• Practical Spin-Echo-Train Signals (8B): Notes | Lecture

Pulse Seq II - Balanced and Spoiled Sequences

• Balanced-SSFP Dynamics (9A): Notes | Lecture

• Mathematics of Balanced-SSFP (9B): Notes | Lecture

• Gradient-Spoiled Sequences (9C): Notes | Lecture

• RF-Spoiled Sequences and Comparisons (9D): Notes | Lecture

Pulse Seq III - Echo Planar Imaging

• Echo Planar Imaging (EPI) (10A): Notes | Lecture

• Echo Planar Imaging (EPI) Artifacts (10B): Notes | Lecture

• Advanced Echo Planar Imaging (EPI) (10C): Notes | Lecture

Pulse Seq IV - Radial & Spiral Sequences

• Radial and Projection Imaging (11A): Notes | Lecture

• Spiral Imaging (11B): Notes | Lecture

Pulse Seq V - Gradient Waveform Design

• Gradient Hardware and Constraints (12A): Notes | Lecture

• Gradient Waveform Design (12B): Notes | Lecture

• Optimal Gradient Waveform Design (12C): Notes | Lecture

Pulse Seq VI - Sampling and Timing

• Sampling and Point-Spread Functions (13A): Notes | Lecture

• Multidimensional Sampling and Timing (13B): Notes | Lecture

Contrast Tools

Magnetization Preparation - RF Pulses

• Magnetization Preparation and Fat Suppression (14A): Notes | Lecture

• Saturation, Inversion and Contrast Preparations (14B): Notes | Lecture

Magnetization Preparation - Diffusion

• Diffusion, Spins, and MRI Signals (15A): Notes | Lecture

• Diffusion Weighted Imaging (15B): Notes | Lecture

• Advanced Diffusion Imaging (15C): Notes | Lecture

Prior Year's Notes/Links

• Logistics Notes (2020)

• Notes from prior years (before 2020) are here